Stage 8 - Q1 - 2 marks
Write an expression: 9 more than 10 times n.
Hint
Translate the operations in the order they happen.
Stage 8 - Q2 - 2 marks
Write an expression: 11 less than 8 times n.
Hint
Translate the operations in the order they happen.
Stage 8 - Q3 - 3 marks
Add 13 to n, then multiply the whole result by 6.
Hint
Translate the operations in the order they happen.
Stage 8 - Q4 - 3 marks
Add 15 to n, then multiply the whole result by 4.
Hint
Translate the operations in the order they happen.
Stage 8 - Q5 - 4 marks
One notebook costs p dollars and one pen costs q dollars. Write an expression for 2 notebooks and 18 pens.
Hint
Translate the operations in the order they happen.
Stage 8 - Q6 - 4 marks
One notebook costs p dollars and one pen costs q dollars. Write an expression for 13 notebooks and 3 pens.
Hint
Translate the operations in the order they happen.
Stage 8 - Q7 - 5 marks
Write expressions for “triple n then add 12” and “add 4 to n then triple”. Are the expressions always equal?
Hint
Keep the second description in brackets before comparing.
Stage 8 - Q8 - 5 marks
A machine adds 6 to its input, divides the result by 3, then subtracts the original input. Write one simplified expression in x.
Hint
Distinguish the original input from the intermediate output.
Stage 8 - Q9 - 5 marks
Three consecutive even integers begin at \(2n\). Write a simplified expression for their sum. Explain why this sum is divisible by 6.
Hint
Consecutive even integers differ by 2, not 1.
Stage 8 - Q10 - 5 marks
A number n is doubled, 5 is added, the result is multiplied by 3, then the original number n is subtracted. Write one simplified expression. Find the starting number when the result is 50.
Hint
Write one expression before simplifying or substituting.